Without expecting any particular background of the reader, this book covers graphs and relations, sequences and limits, partial derivatives, optimization, vectors, and matrix algebra. Throughout, the stress is firmly on how the mathematics relates to economics, and this is illustrated with copious examples and exercises that will foster depth of understanding.
If you need this book for your studies (LSE) and you plan to study on your own...I'm sorry for you. I would recommend you to keep yourself away from it and try to find something else. Missing steps all around, he explains thoroughly simple things but explains in a terrible way the difficult ones...
In my opinion he clearly knows maths BUT he doesn't have a clue about how to teach them ...
For me it's a clear example of the kind of book a teacher does thinking about what other teachers would think about him. In doing so he forgets his readers/students.
I think it's worthless, try Ian Jacques' or any other one.
Don´t buy this book! You'll loose your money and your time!